Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities

被引:0
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作者
Getachew K. Befekadu
Vijay Gupta
Panos J. Antsaklis
机构
[1] University of Notre Dame,Department of Electrical Engineering
来源
Mathematics of Control, Signals, and Systems | 2013年 / 25卷
关键词
Dissipativity properties; Game theory; Multi-channel system; Nash strategy; Dilated linear matrix inequality; Robust stabilization;
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摘要
We consider the problem of state-feedback stabilization for a multi-channel system in a game-theoretic framework, where the class of admissible strategies for the players is induced from a solution set of the individual objective functions that are associated with certain dissipativity properties of the system. In such a framework, we characterize the feedback Nash equilibria via a set of non-fragile stabilizing state-feedback solutions corresponding to a family of perturbed multi-channel systems. Moreover, we show that the existence of a weak-optimal solution to a set of constrained dissipativity problems is a sufficient condition for the existence of a feedback Nash equilibrium, whereas the set of non-fragile stabilizing state-feedbacks solutions is described in terms of a set of dilated linear matrix inequalities.
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页码:311 / 326
页数:15
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